Publications
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Ideal convergence of k-positive linear operators: Journal of Function Spaces and Applications 2012
Gadjiev, A. and Duman, O. and Ghorbanalizadeh, A.M., (2012). "Ideal convergence of k-positive linear operators", Journal of Function Spaces and Applications -
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Statistical Approximation by Double Poisson-Cauchy Singular Integral Operators: Results in Mathematics 2012
Duman, O. and Kester, M., (2012). "Statistical Approximation by Double Poisson-Cauchy Singular Integral Operators", Results in Mathematics, vol. 62, no. 1-2, pp. 53-65 -
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Statistical approximation properties of high order operators constructed with the Chan–Chyan–Srivastava polynomials Nov-2011
Erkuş-Duman, E & Duman, O, 2011, 'Statistical approximation properties of high order operators constructed with the Chan–Chyan–Srivastava polynomials', Applied Mathematics and Computation, vol. 215, no. 5, pp. 2317-1933. -
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Statistical Korovkin-type theory for matrix-valued functions Sep-2011
Erkuş-Duman, E & Duman, O, 2011, 'Statistical Korovkin-type theory for matrix-valued functions', Studia Scientiarum Mathematicarum Hungarica, vol. 69, no. 4, pp. 1533-508. -
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A Voronovskaya-type formula for SMK operators via statistical convergence: Mathematica Slovaca 2011
Aral, A. and Duman, O., (2011). "A Voronovskaya-type formula for SMK operators via statistical convergence", Mathematica Slovaca, vol. 61, no. 2, pp. 235-244 -
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Approximations by linear operators in spaces of fuzzy continuous functions: Positivity 2011
Burgin, M. and Duman, O., (2011). "Approximations by linear operators in spaces of fuzzy continuous functions", Positivity, vol. 15, no. 1, pp. 57-72 -
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Global approximation results for modified szá sz-mirakjan operators: Taiwanese Journal of Mathematics 2011
Duman, O. and Özarslan, M.A., (2011). "Global approximation results for modified szá sz-mirakjan operators", Taiwanese Journal of Mathematics, vol. 15, no. 1, pp. 75-86 -
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Local Approximation Properties of Modified Baskakov Operators: Results in Mathematics 2011
Özarslan, M.A. and Duman, O. and Mahmudov, N.I., (2011). "Local Approximation Properties of Modified Baskakov Operators", Results in Mathematics, vol. 59, no. 1-2, pp. 1-11 -
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Matrix summability methods on the approximation of multivariate q-MKZ operators: Bulletin of the Malaysian Mathematical Sciences Society 2011
Aktuǧlu, H. and Ali Özarslan, M. and Duman, O., (2011). "Matrix summability methods on the approximation of multivariate q-MKZ operators", Bulletin of the Malaysian Mathematical Sciences Society, vol. 34, no. 3, pp. 465-474 -
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Statistical Korovkin-type theory for matrix-valued functions: Studia Scientiarum Mathematicarum Hungarica 2011
Duman, O. and Erkuş-Duman, E., (2011). "Statistical Korovkin-type theory for matrix-valued functions", Studia Scientiarum Mathematicarum Hungarica, vol. 48, no. 4, pp. 489-508 -
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Statistical Lp-convergence of double smooth picard singular integral operators: Journal of Computational Analysis and Applications 2011
Anastassiou, G.A. and Duman, O., (2011). "Statistical Lp-convergence of double smooth picard singular integral operators", Journal of Computational Analysis and Applications, vol. 13, no. 1, pp. 167-187 -
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Statistical approximation by double complex GaussWeierstrass integral operators: Applied Mathematics Letters 2011
Anastassiou, G.A. and Duman, O., (2011). "Statistical approximation by double complex GaussWeierstrass integral operators", Applied Mathematics Letters, vol. 24, no. 4, pp. 438-443 -
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Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials: Applied Mathematics and Computation 2011
Erku-Duman, E. and Duman, O., (2011). "Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials", Applied Mathematics and Computation, vol. 218, no. 5, pp. 1927-1933 -
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Approximation in statistical sense to B -continuous functions by positive linear operators: Studia Scientiarum Mathematicarum Hungarica 2010
Dirik, F. and Duman, O. and Demirci, K., (2010). "Approximation in statistical sense to B -continuous functions by positive linear operators", Studia Scientiarum Mathematicarum Hungarica, vol. 47, no. 3, pp. 289-298 -
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Bernstein-durrmeyer type operators preserving linear functions: Matematicki Vesnik 2010
Gupta, V. and Duman, O., (2010). "Bernstein-durrmeyer type operators preserving linear functions", Matematicki Vesnik, vol. 62, no. 4, pp. 259-264 -
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Fuzzy approximation based on statistical rates: Publicationes Mathematicae 2010
Duman, O., (2010). "Fuzzy approximation based on statistical rates", Publicationes Mathematicae, vol. 76, no. 3-4, pp. 453-464 -
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Global approximation properties of modified SMK operators: Filomat 2010
Ali Özarslan, M. and Duman, O., (2010). "Global approximation properties of modified SMK operators", Filomat, vol. 24, no. 1, pp. 47-61 -
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Local approximation behavior of modified smk operators: Miskolc Mathematical Notes 2010
Ali Özarslan, M. and Duman, O., (2010). "Local approximation behavior of modified smk operators", Miskolc Mathematical Notes, vol. 11, no. 1, pp. 87-99 -
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Opial-type inequalities for diamond-alpha derivatives and integrals on time scales: Differential Equations and Dynamical Systems 2010
Bohner, M. and Duman, O., (2010). "Opial-type inequalities for diamond-alpha derivatives and integrals on time scales", Differential Equations and Dynamical Systems, vol. 18, no. 1-2, pp. 229-237 -
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Rates of convergence of certain King-type operators for functions with derivative of bounded variation: Mathematical and Computer Modelling 2010
Ali Özarslan, M. and Duman, O. and Kaanoǧlu, C., (2010). "Rates of convergence of certain King-type operators for functions with derivative of bounded variation", Mathematical and Computer Modelling, vol. 52, no. 1-2, pp. 334-345 -
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Rates of ideal convergence for approximation operators: Mediterranean Journal of Mathematics 2010
Duman, O. and Özarslan, M.A. and Erkuş-Duman, E., (2010). "Rates of ideal convergence for approximation operators", Mediterranean Journal of Mathematics, vol. 7, no. 1, pp. 111-121 -
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Statistical Korovkin theory for multivariate stochastic processes: Stochastic Analysis and Applications 2010
Anastassiou, G.A. and Duman, O., (2010). "Statistical Korovkin theory for multivariate stochastic processes", Stochastic Analysis and Applications, vol. 28, no. 4, pp. 648-661 -
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Statistical Lp-approximation by double Gauss-Weierstrass singular integral operators: Computers and Mathematics with Applications 2010
Anastassiou, G.A. and Duman, O., (2010). "Statistical Lp-approximation by double Gauss-Weierstrass singular integral operators", Computers and Mathematics with Applications, vol. 59, no. 6, pp. 1985-1999 -
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Statistical approximation by positive linear operators on modular spaces: Positivity 2010
Karakuş, S. and Demirci, K. and Duman, O., (2010). "Statistical approximation by positive linear operators on modular spaces", Positivity, vol. 14, no. 2, pp. 321-334 -
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Statistical convergence of double-complex Picard integral operators: Applied Mathematics Letters 2010
Anastassiou, G.A. and Duman, O., (2010). "Statistical convergence of double-complex Picard integral operators", Applied Mathematics Letters, vol. 23, no. 8, pp. 852-858 -
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Statistical convergence of max-product approximating operators: Turkish Journal of Mathematics 2010
Duman, O., (2010). "Statistical convergence of max-product approximating operators", Turkish Journal of Mathematics, vol. 34, no. 4, pp. 501-514 -
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Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators: Hacettepe Journal of Mathematics and Statistics 2010
Duman, O., (2010). "Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators", Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 497-514 -
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Statistical Approximation for Stochastic Processes Apr-2009
Anastassiou, G, Duman, O & Erkuş-Duman, E, 2009, 'Statistical Approximation for Stochastic Processes', Stochastic Analysis and Applications, vol. 13, no. 3, pp. 77-474. -
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Allee effect in a discrete-time predator-prey system: Chaos, Solitons and Fractals 2009
Çelik, C. and Duman, O., (2009). "Allee effect in a discrete-time predator-prey system", Chaos, Solitons and Fractals, vol. 40, no. 4, pp. 1956-1962 -
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Allee effects on population dynamics in continuous (overlapping) case: Chaos, Solitons and Fractals 2009
Merdan, H. and Duman, O. and Akin, O. and Çelik, C., (2009). "Allee effects on population dynamics in continuous (overlapping) case", Chaos, Solitons and Fractals, vol. 39, no. 4, pp. 1994-2001 -
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Approximation theorems by Meyer-König and Zeller type operators: Chaos, Solitons and Fractals 2009
Ali Özarslan, M. and Duman, O., (2009). "Approximation theorems by Meyer-König and Zeller type operators", Chaos, Solitons and Fractals, vol. 41, no. 1, pp. 451-456 -
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High order statistical fuzzy Korovkin theory: Stochastic Analysis and Applications 2009
Anastassiou, G.A. and Duman, O., (2009). "High order statistical fuzzy Korovkin theory", Stochastic Analysis and Applications, vol. 27, no. 3, pp. 543-554 -
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Modified Szász-Mirakjan-Kantorovich operators preserving linear functions: Turkish Journal of Mathematics 2009
Duman, O. and Özarslan, M.A. and Vecchia, B.D., (2009). "Modified Szász-Mirakjan-Kantorovich operators preserving linear functions", Turkish Journal of Mathematics, vol. 33, no. 2, pp. 151-158 -
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On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations: Journal of Computational Analysis and Applications 2009
Anastassiou, G.A. and Duman, O., (2009). "On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations", Journal of Computational Analysis and Applications, vol. 11, no. 1, pp. 7-19 -
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On the stability analysis of a general discrete-time population model involving predation and Allee effects: Chaos, Solitons and Fractals 2009
Merdan, H. and Duman, O., (2009). "On the stability analysis of a general discrete-time population model involving predation and Allee effects", Chaos, Solitons and Fractals, vol. 40, no. 3, pp. 1169-1175 -
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Oscillation analysis of neutral difference equations with delays: Chaos, Solitons and Fractals 2009
Öcalan, O. and Duman, O., (2009). "Oscillation analysis of neutral difference equations with delays", Chaos, Solitons and Fractals, vol. 39, no. 1, pp. 261-270 -
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Stability analysis of continuous population model involving predation and Allee effect: Chaos, Solitons and Fractals 2009
Duman, O. and Merdan, H., (2009). "Stability analysis of continuous population model involving predation and Allee effect", Chaos, Solitons and Fractals, vol. 41, no. 3, pp. 1218-1222 -
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Statistical approximation for stochastic processes: Stochastic Analysis and Applications 2009
Anastassiou, G.A. and Duman, O. and Erkuş-Duman, E., (2009). "Statistical approximation for stochastic processes", Stochastic Analysis and Applications, vol. 27, no. 3, pp. 460-474 -
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Statistical approximation to Bögel-type continuous and periodic functions: Central European Journal of Mathematics 2009
Dirik, F. and Duman, O. and Demirci, K., (2009). "Statistical approximation to Bögel-type continuous and periodic functions", Central European Journal of Mathematics, vol. 7, no. 3, pp. 539-549 -
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Statistical weighted approximation to derivatives of functions by linear operators: Journal of Computational Analysis and Applications 2009
Anastassiou, G.A. and Duman, O., (2009). "Statistical weighted approximation to derivatives of functions by linear operators", Journal of Computational Analysis and Applications, vol. 11, no. 1, pp. 20-30 -
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Strong versions of the theorems of Weierstrass, Montel and Hurwitz: Hacettepe Journal of Mathematics and Statistics 2009
Duman, O., (2009). "Strong versions of the theorems of Weierstrass, Montel and Hurwitz", Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 2, pp. 153-159 -
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A Baskakov type generalization of statistical Korovkin theory: Journal of Mathematical Analysis and Applications 2008
Anastassiou, G.A. and Duman, O., (2008). "A Baskakov type generalization of statistical Korovkin theory", Journal of Mathematical Analysis and Applications, vol. 340, no. 1, pp. 476-486 -
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A-statistical convergence of sequences of convolution operators: Taiwanese Journal of Mathematics 2008
Duman, O., (2008). "A-statistical convergence of sequences of convolution operators", Taiwanese Journal of Mathematics, vol. 12, no. 2, pp. 523-536 -
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Allee effects on population dynamics with delay: Chaos, Solitons and Fractals 2008
Çelik, C. and Merdan, H. and Duman, O. and Akin, O., (2008). "Allee effects on population dynamics with delay", Chaos, Solitons and Fractals, vol. 37, no. 1, pp. 65-74 -
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Approximation properties of poisson integrals for orthogonal expansions: Taiwanese Journal of Mathematics 2008
Özarslan, M.A. and Duman, O., (2008). "Approximation properties of poisson integrals for orthogonal expansions", Taiwanese Journal of Mathematics, vol. 12, no. 5, pp. 1147-1163 -
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Better error estimation for Szász-Mirakjan-Beta operators: Journal of Computational Analysis and Applications 2008
Duman, O. and Özarslan, M.A. and Aktuǧlu, H., (2008). "Better error estimation for Szász-Mirakjan-Beta operators", Journal of Computational Analysis and Applications, vol. 10, no. 1, pp. 53-59 -
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Equi-statistical convergence of positive linear operators: Journal of Mathematical Analysis and Applications 2008
Karakuş, S. and Demirci, K. and Duman, O., (2008). "Equi-statistical convergence of positive linear operators", Journal of Mathematical Analysis and Applications, vol. 339, no. 2, pp. 1065-1072 -
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Integral-type generalizations of operators obtained from certain multivariate polynomials: Calcolo 2008
Erkuş-Dumanß, E. and Duman, O., (2008). "Integral-type generalizations of operators obtained from certain multivariate polynomials", Calcolo, vol. 45, no. 1, pp. 53-67 -
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Local approximation results for Szász-Mirakjan type operators: Archiv der Mathematik 2008
Özarslan, M.A. and Duman, O., (2008). "Local approximation results for Szász-Mirakjan type operators", Archiv der Mathematik, vol. 90, no. 2, pp. 144-149 -
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On statistical fuzzy trigonometric Korovkin theory: Journal of Computational Analysis and Applications 2008
Duman, O. and Anastassiou, G.A., (2008). "On statistical fuzzy trigonometric Korovkin theory", Journal of Computational Analysis and Applications, vol. 10, no. 3, pp. 333-344 -
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Properties of fuzzy statistical limits: Journal of Intelligent and Fuzzy Systems 2008
Burgin, M. and Duman, O., (2008). "Properties of fuzzy statistical limits", Journal of Intelligent and Fuzzy Systems, vol. 19, no. 6, pp. 385-392 -
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Rates of A-statistical convergence of operators in the space of locally integrable functions: Applied Mathematics Letters 2008
Duman, O. and Orhan, C., (2008). "Rates of A-statistical convergence of operators in the space of locally integrable functions", Applied Mathematics Letters, vol. 21, no. 5, pp. 431-435 -
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Statistical approximation results for Kantorovich-type operators involving some special polynomials: Mathematical and Computer Modelling 2008
Özarslan, M.A. and Duman, O. and Srivastava, H.M., (2008). "Statistical approximation results for Kantorovich-type operators involving some special polynomials", Mathematical and Computer Modelling, vol. 48, no. 3-4, pp. 388-401 -
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Statistical convergence on intuitionistic fuzzy normed spaces: Chaos, Solitons and Fractals 2008
Karakus, S. and Demirci, K. and Duman, O., (2008). "Statistical convergence on intuitionistic fuzzy normed spaces", Chaos, Solitons and Fractals, vol. 35, no. 4, pp. 763-769 -
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Statistical fuzzy approximation by fuzzy positive linear operators: Computers and Mathematics with Applications 2008
Anastassiou, G.A. and Duman, O., (2008). "Statistical fuzzy approximation by fuzzy positive linear operators", Computers and Mathematics with Applications, vol. 55, no. 3, pp. 573-580 -
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Statistical fuzzy convergence: International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems 2008
Burgin, M. and Duman, O., (2008). "Statistical fuzzy convergence", International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, vol. 16, no. 6, pp. 879-902 -
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A Korovkin type approximation theorems via I-convergence: Czechoslovak Mathematical Journal 2007
Duman, O., (2007). "A Korovkin type approximation theorems via I-convergence", Czechoslovak Mathematical Journal, vol. 57, no. 1, pp. 367-375 -
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Higher order generalization of positive linear operators defined by a class of borel measures: Turkish Journal of Mathematics 2007
Duman, O., (2007). "Higher order generalization of positive linear operators defined by a class of borel measures", Turkish Journal of Mathematics, vol. 31, no. 3, pp. 333-339 -
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MKZ type operators providing a better estimation on [1/2,1): Canadian Mathematical Bulletin 2007
Özarslan, M.A. and Duman, O., (2007). "MKZ type operators providing a better estimation on [1/2,1)", Canadian Mathematical Bulletin, vol. 50, no. 3, pp. 434-439 -
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Regular matrix transformations and rates of convergence of positive linear operators: Calcolo 2007
Duman, O., (2007). "Regular matrix transformations and rates of convergence of positive linear operators", Calcolo, vol. 44, no. 3, pp. 159-164 -
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Szász-Mirakjan type operators providing a better error estimation: Applied Mathematics Letters 2007
Duman, O. and Özarslan, M.A., (2007). "Szász-Mirakjan type operators providing a better error estimation", Applied Mathematics Letters, vol. 20, no. 12, pp. 1184-1188 -
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Weighted approximation by Meyer-König and Zeller type operators: Studia Scientiarum Mathematicarum Hungarica 2007
Della Vecchia, B. and Duman, O., (2007). "Weighted approximation by Meyer-König and Zeller type operators", Studia Scientiarum Mathematicarum Hungarica, vol. 44, no. 4, pp. 445-467 -
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A Korovkin type approximation theorem in statistical sense: Studia Scientiarum Mathematicarum Hungarica 2006
Erkuş, E. and Duman, O., (2006). "A Korovkin type approximation theorem in statistical sense", Studia Scientiarum Mathematicarum Hungarica, vol. 43, no. 3, pp. 285-294 -
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An abstract version of the Korovkin approximation theorem: Publicationes Mathematicae 2006
Duman, O. and Orhan, C., (2006). "An abstract version of the Korovkin approximation theorem", Publicationes Mathematicae, vol. 69, no. 1-2, pp. 33-46 -
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Approximation of Continuous Periodic Functions Via Statistical Convergence: Computers and Mathematics with Applications 2006
Duman, O. and Erkuş, E., (2006). "Approximation of Continuous Periodic Functions Via Statistical Convergence", Computers and Mathematics with Applications, vol. 52, no. 6-7, pp. 967-974 -
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On integral type generalizations of positive linear operators: Studia Mathematica 2006
Duman, O. and Özarslan, M.A. and Doǧru, O., (2006). "On integral type generalizations of positive linear operators", Studia Mathematica, vol. 174, no. 1, pp. 1-12 -
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Statistical approximation of Meyer-König and Zeller operators based on q-integers: Publicationes Mathematicae 2006
Doǧru, O. and Duman, O., (2006). "Statistical approximation of Meyer-König and Zeller operators based on q-integers", Publicationes Mathematicae, vol. 68, no. 1-2, pp. 199-214 -
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Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials: Applied Mathematics and Computation 2006
Erkuş, E. and Duman, O. and Srivastava, H.M., (2006). "Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials", Applied Mathematics and Computation, vol. 182, no. 1, pp. 213-222 -
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Statistical approximation theorems by k-positive linear operators: Archiv der Mathematik 2006
Duman, O., (2006). "Statistical approximation theorems by k-positive linear operators", Archiv der Mathematik, vol. 86, no. 6, pp. 569-576 -
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Statistical rates on the multivariate approximation theory: Mathematical and Computer Modelling 2006
Duman, O. and Erkuş, E. and Gupta, V., (2006). "Statistical rates on the multivariate approximation theory", Mathematical and Computer Modelling, vol. 44, no. 9-10, pp. 763-770 -
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A-Statistical extension of the Korovkin type approximation theorem: Proceedings of the Indian Academy of Sciences: Mathematical Sciences 2005
Erkuş, E. and Duman, O., (2005). "A-Statistical extension of the Korovkin type approximation theorem", Proceedings of the Indian Academy of Sciences: Mathematical Sciences, vol. 115, no. 4, pp. 499-508 -
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Rates of A-statistical convergence of approximating operators: Calcolo 2005
Özarslan, M.A. and Duman, O. and Doǧru, O., (2005). "Rates of A-statistical convergence of approximating operators", Calcolo, vol. 42, no. 2, pp. 93-104 -
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Rates of A-statistical convergence of positive linear operators: Applied Mathematics Letters 2005
Duman, O. and Orhan, C., (2005). "Rates of A-statistical convergence of positive linear operators", Applied Mathematics Letters, vol. 18, no. 12, pp. 1339-1344 -
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Statistical approximation by positive linear operators: Studia Mathematica 2004
Duman, O. and Orhan, C., (2004). "Statistical approximation by positive linear operators", Studia Mathematica, vol. 161, no. 2, pp. 187-197 -
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The effects of matrix summability methodson bounds of function sequences: Applied Mathematics Letters 2004
Duman, O., (2004). "The effects of matrix summability methodson bounds of function sequences", Applied Mathematics Letters, vol. 17, no. 12, pp. 1221-1229 -
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μ-statistically convergent function sequences: Czechoslovak Mathematical Journal 2004
Duman, O. and Orhan, C., (2004). "μ-statistically convergent function sequences", Czechoslovak Mathematical Journal, vol. 54, no. 2, pp. 413-422 -
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A -statistical convergence of approximating operators: Mathematical Inequalities and Applications 2003
Duman, O. and Khan, M.K. and Orhan, C., (2003). "A -statistical convergence of approximating operators", Mathematical Inequalities and Applications, vol. 6, no. 4, pp. 689-699 -
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Statistical approximation by generalized Meyer-König and Zeller type operators: Studia Scientiarum Mathematicarum Hungarica 2003
Doǧru, O. and Duman, O. and Orhan, C., (2003). "Statistical approximation by generalized Meyer-König and Zeller type operators", Studia Scientiarum Mathematicarum Hungarica, vol. 40, no. 3, pp. 359-371 -
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Statistical approximation in the space of locally integrable functions: Publicationes Mathematicae 2003
Duman, O. and Orhan, C., (2003). "Statistical approximation in the space of locally integrable functions", Publicationes Mathematicae, vol. 63, no. 1-2, pp. 133-144 -
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